2011021112120 has 64 divisors (see below), whose sum is σ = 4675867590240. Its totient is φ = 777921984000.

The previous prime is 2011021112119. The next prime is 2011021112123. The reversal of 2011021112120 is 212111201102.

It is a super-2 number, since 2×2011021112120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011021112095 and 2011021112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011021112123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5614391 + ... + 5961830.

Almost surely, 2^{2011021112120} is an apocalyptic number.

2011021112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011021112120 is an abundant number, since it is smaller than the sum of its proper divisors (2664846478120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011021112120 is a wasteful number, since it uses less digits than its factorization.

2011021112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11576376 (or 11576372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011021112120 its reverse (212111201102), we get a palindrome (2223132313222).

The spelling of 2011021112120 in words is "two trillion, eleven billion, twenty-one million, one hundred twelve thousand, one hundred twenty".